Pith Number

pith:5VXGLBYG

pith:2005:5VXGLBYGYKCW5VWK2WARL3UYZI

not attested not anchored not stored refs pending

Universal manifold pairings and positivity

Alexei Kitaev, Chetan Nayak, Johannes K Slingerland, Kevin Walker, Michael H Freedman, Zhenghan Wang

arxiv:math/0503054 v4 · 2005-03-03 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VXGLBYGYKCW5VWK2WARL3UYZI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:37:59.797442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6e658706c2856ed6cad58115ee98ca1f4394cc823d5c5d7b3156e4639a72e3

Aliases

arxiv: math/0503054 · arxiv_version: math/0503054v4 · doi: 10.48550/arxiv.math/0503054 · pith_short_12: 5VXGLBYGYKCW · pith_short_16: 5VXGLBYGYKCW5VWK · pith_short_8: 5VXGLBYG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5VXGLBYGYKCW5VWK2WARL3UYZI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ed6e658706c2856ed6cad58115ee98ca1f4394cc823d5c5d7b3156e4639a72e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8132dbf1908ba074bb46cd9d373182830a77511611418616b6ed75d31b9456fc",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-03-03T06:19:21Z",
    "title_canon_sha256": "387ae889693d248ebb0dabaaa7e4f82eb7b68b992dcf19e2a5c6e547ea8c976a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503054",
    "kind": "arxiv",
    "version": 4
  }
}